Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 183
A Normal distribution Approximation of the Final Size of a Multitype Collective Reed-Frost Model
Abdelhak Eseghir, Mohamed Latifi, Khalid Hattaf, Abdelghani Kissami
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 24, 2022
March 03, 2166
April 15, 2166

Abstract: The central problem for epidemic processes is the mathematical representation of the transmission mechanism of the infection and the study, for a given model, of the behaviour of the final size of the epidemic. In this research, we propose a Gaussian process approximation of the final size. We start with a presentation of the model, then we introduce inclusive processes by representing the collective process through the elimination of the infected in order to assimilate the epidemic process to the included process. Then, under some assumptions, and by application of Kurtz's theorem, we show, ...